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Theorem keys-put

⊦ sk0 ∈ fis[sk, val] .keys ↔ sk0 ∈ fis .keys ∨ sk0 = sk

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: validFields-putfis,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 2
Used lemmas: keys-in,
Used spec theorems:
- Used simplifier rules:
  - assoclist/fieldinit/in-put